Inclined Plane
The accepted value of the acceleration due to gravity specific to this floor of this building.
What is 980.35 cm/s^2?
This is the name of the process by which we create an expression where our experimental value is buried in the slope.
What is linearization?
This is the formula for calculating the scale on either axis of every graph we did this semester except for 2D momentum.
What is scale = (max-min)/num_of_boxes?
This is the type of collision that occurs in this experiment.
What is an inelastic collision?
This is one of the sources of systematic error from this experiment.
What is not considering angular momentum, friction, loss of energy in the collision, sources of unexpected acceleration, imperfections in the air table's surface, the camera not being level with the table surface, or several other factors?
This is the properly reported values given the following experimental results.
F = 350.981026474527 N
S_F = 0.998186625607987 N
What is F_exp = 351 +- 1 N?
The two negligible sources of systematic error described in the lab manual for this experiment.
What are air resistance and the small angle approximation?
These are the 2 forces that we balanced in part 1 of this experiment.
What are the force due to gravity/weight directed downward and the spring force directed upward?
Fill in the missing units in the following expression.
18 (blank)/cm^3 = 32kg/2(blank) + 2kg/cm^3
What is kg and cm^3?
This is the conversion of the following vector from cartesian coordinates into polar coordinates (r,theta).
A = 12x^ - 9y^What is A = (15,-36.87 degrees)?
Produce a drawing of what forces act on a mass sliding down an inclined plane.
What is the drawing produced as set up for this experiment?
Provide an explanation of what the PvA test compares using the expressions on each side of the inequality.
What is precision as shown by our standard error value and accuracy as shown by the difference between our experimental value and the accepted value?
This is one of the 2 sets of independent and dependent data we performed linear regression on in this experiment.
What is r vs F_g or T^2 vs L?
Starting from conservation of energy, derive the expression used to find the final momentum in part 2 of this experiment.
What is p_f = (M+m)*sqrt(2*g*(h_f - h_i))?
This is the conversion of this vector from polar coordinates into cartesian coordinates.
C = (14,45 degrees)What is C = 9.899x^ + 9.899y^?
This is the explanation for why we needed to use both the acceleration down the ramp and up the ramp to solve for both g and mu.
What is so we could perform the algebraic steps necessary to only have 1 unknown value in each equation?
Perform error propagation to find S_D.
D = A^2 +B/3 +C
What is S_D = sqrt((2*A*S_A)^2 + (S_B/3)^2 + (S_C)^2)?
This is the linearized form of the following equation used in this experiment to plot T^2 vs L.
g = (2*pi/T)^2 * L
What is T^2 = ((2*pi)^2)/g * L?
When considering only the projectile and pendulum as our system, this law was violated in this experiment for the following reason.
What is conservation of energy because energy is transferred to heat, sound, and mechanical vibration during the collision?
This is the sum of the following two vectors.
A = 2x^ + 4y^
B = -5x^ + y^What is A + B = -3x^ + 5y^?
This is the factor of the experiment that the results are extremely sensitive to changes in.
What is the angle of the incline?
Out of two given options, this method of measuring period of oscillation was expected to be more precise. Along with the reasoning for why we expected this method to be more accurate.
What is measuring total time for sets of multiple oscillations because the error introduced would be reduced by a factor of the number of oscillations?
This was the complication with performing linear analysis on the full set of data in part 1 of this experiment.
What is the spring having a non-linear response to both very low and very high magnitudes of applied force?
Starting from kinematic equations, derive the expression we used for the initial momentum of the system in this experiment.
What is p_i = m*x*sqrt(g/2y) obtained by solving for t using the motion in the y-direction?
Perform error propagation to find S_u.
u = (t+v)/3 +x(y^4)
What is S_u = sqrt((S_((t+v)/3))^2 + (S_(x(y^4))) while also defining each of those terms?